Abstract: Due to the boundary conditions between the ice plate and the solid wall of the ice pond, the influence of the pool wall effect is usually large and cannot be ignored in restricted channel scenarios such as the frozen inland waterway in winter and the model test of the ice pond. Based on this, a mathematical model is established for the steady-state response of the ice plate caused by the constant motion of the moving pressure surface in the solid wall ice channel, and the analytical solution of the model is derived by the separation variable method, orthogonal mode method and Fourier transform. The integral expression of the deformation response of the ice plate is obtained, and the problem is numerically solved by numerical calculation. Based on verifying the convergence of the integral expression, based on the critical speed of flexural-gravity wave propagation in the solid wall ice channel, the flexural-gravity wave points caused by the pressure surface moving in different velocity intervals are analyzed, the influence of the moving pressure surface relative to the position of the channel wall on the flexural-gravity wave is studied, and the influence of channel depth and ice thickness parameters on the ice-breaking ability of the moving load is discussed. A summary of the influence patterns of the speed of moving pressure surface, the positional relationship between the pressure surface and the channel wall, ice thickness, and water depth changes on ice plate deformation and strain, aiming to provide some references for conducting ice-water tank model tests and inland river icebreaking.